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Reverse Mathematics

axioms are needed to prove a given theorem? Only in the last two hundred years have some of these questions been answered, and only in the last;

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Goedel s Theorems and Zermelo s Axioms

This book provides a concise and self-contained introduction to the foundations of mathematics. The first part covers the fundamental;

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Goedel s Theorems and Zermelo s Axioms

This book provides a concise and self-contained introduction to the foundations of mathematics. The first part covers the fundamental;

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Axiomatic Set Theory

chapter covers the basic paradoxes and the history of set theory and provides a motivation for the study. The second and third chapters cover the;

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The Joy of Sets

develops the Zermelo-Fraenkel axioms of the theory before discussing the ordinal and cardinal numbers. It then delves into contemporary set theory;

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A Bridge to Higher Mathematics

students in developing a deeper understanding of mathematics and mathematical thought. The only way to understand mathematics is by doing;

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A Bridge to Higher Mathematics

students in developing a deeper understanding of mathematics and mathematical thought. The only way to understand mathematics is by doing;

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A First Course in Topology

Students must prove all of the theorems in this undergraduate-level text, which features extensive outlines to assist in study and;

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Classic Set Theory

Designed for undergraduate students of set theory, Classic Set Theory presents a modern perspective of the classic work of Georg Cantor and;

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Classic Set Theory

Designed for undergraduate students of set theory, Classic Set Theory presents a modern perspective of the classic work of Georg Cantor and;

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Numbers, Sets and Axioms

Following the success of Logic for Mathematicians, Dr Hamilton has written a text for mathematicians and students of mathematics that;

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Sets for Mathematics

Advanced undergraduate or beginning graduate students need a unified foundation for their study of geometry, analysis, and algebra. This;

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Sets for Mathematics

Advanced undergraduate or beginning graduate students need a unified foundation for their study of geometry, analysis, and algebra. This;

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Euclidean Geometry and Its Subgeometries

In this monograph, the authors present a modern development of Euclidean geometry from independent axioms, using up-to-date language and;

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Analysis with Ultrasmall Numbers

infinitesimals, proofs become simpler and more focused on the combinatorial heart of arguments, unlike traditional treatments that use epsilon-delta;

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Knowledge and the Philosophy of Number

objects: they are magnitude properties. Properties are not fictions and we certainly have scientific knowledge of them. Much is already known;

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Geometry of Subanalytic and Semialgebraic Sets

Subanalytic and semialgebraic sets were introduced for topological and systematic investigations of real analytic and algebraic sets. This;

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Introduction To Analysis, An

Based on the lifetime work of leading teacher and researcher Jan Mikusinski, this classroom-tested book provides a thorough grounding;

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Philosophy of Mathematics

of precision and objectivity, but it appears distinct from the empirical sciences because it seems to deliver nonexperiential knowledge of a;

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Sets

first principles and presupposes little more than an elementary grounding in logic. Throughout much attention is paid to the subject's;

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Proofs and Fundamentals

Proofs and Fundamentals: A First Course in Abstract Mathematics 2nd edition is designed as a transition course to introduce;

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Notes On Forcing Axioms

:Baire Category Theorem and the;

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Topology

between intuition on the one hand and a pure mathematical formulation on the other. Thus, we develop the axioms for a topological space, formulate;

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The Axioms of Religion

Theological Seminary from 1899 to 1928, to be the most influential Southern Baptist theologian and denominational leader of the twentieth century. His;

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Mathematics of Fuzzy Sets

Mathematics of Fuzzy Sets: Logic, Topology and Measure Theory is a major attempt to provide much-needed coherence for the mathematics;

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Mathematics of Fuzzy Sets

Mathematics of Fuzzy Sets: Logic, Topology and Measure Theory is a major attempt to provide much-needed coherence for the mathematics;

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Introduction to Analysis in One Variable

This is a text for students who have had a three-course calculus sequence and who are ready to explore the logical structure of analysis as;

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